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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex
An Introduction to Differential Manifolds
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Authors: Jacques Lafontaine
Categories: Mathematics
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This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie
Differential Manifolds
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like
Geometric Mechanics on Riemannian Manifolds
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* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the en
Fundamentals of Differential Geometry
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This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic